λ
Match Zalai

525,042

2 × 34 × 7 × 463
Abundant Even Composite

525,042 factors as 2 × 3^4 × 7 × 463. Its 40 positive divisors give a proper-divisor sum of 822,414, so this integer is abundant. The Collatz stopping time is 125 steps.

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Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,347,456
Proper Divisor Sum 822,414
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #525029 ← → #525043

Radix Representation

Decimal 525042
Binary 10000000001011110010 (20 bits)
Octal 0o2001362
Hexadecimal 0x802F2

Divisor Catalog (5 of 40)

1 2 3 6 7

Collatz Trajectory (125 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

525,042 262,521 787,564 393,782 196,891

More profiles

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